Find the LCM of 452, 451, 935, 358, 102 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 452, 451, 935, 358, 102. So, keep reading to learn more.
Given numbers are 452,451,935,358,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,451,935,358,102 is 9304824540.
Find LCM of 452,451,935,358,102 with Prime Factorization
2 | 452, 451, 935, 358, 102 |
11 | 226, 451, 935, 179, 51 |
17 | 226, 41, 85, 179, 51 |
226, 41, 5, 179, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 226 x 41 x 5 x 179 x 3 = 9304824540
Therefore, the lowest common multiple of 452,451,935,358,102 is 9304824540.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
452 x 451 x 935 x 358 x 102 = 6960008755920
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
452 : 1, 2, 4, 113, 226, 452
451 : 1, 11, 41, 451
935 : 1, 5, 11, 17, 55, 85, 187, 935
358 : 1, 2, 179, 358
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,451,935,358,102, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
451:11x 41
935:5x 11x 17
358:2x 179
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 17 = 748
Therefore, the value for common factors is 748.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 6960008755920/(1x748)
LCM = 6960008755920/748
LCM = 9304824540
Thus, we can understand that the LCM of 452,451,935,358,102 is 9304824540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 451, 935, 358, 102?
Answer: LCM of 452, 451, 935, 358, 102 is 9304824540.
2. How to calculate the LCM of 452, 451, 935, 358, 102?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 452, 451, 935, 358, 102.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.